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- The resultant vector can also be found mmathematically in right triangles using the Pythagorean Theorem:
C2 = A2 + B2
- or in other triangles using the Law of CCosines:
C2 = A2 + B2 - 2AB cos θ
- A coordinate system has an origin and twwo perpendicular axes.
- A single vector can be broken down into two or more component to find its x and y coordinates.
Ax = A cos θ
Ay = A sin θ
- By resolving vectors you will also form right triangles.
A2 = Ax2 + Ay2
- Ax and Ay are knowwn as the components of a vector.
- If more than one vector is resolved the components of the resultant vector can be found simply by adding the components of all the vectors.
Rx = Ax + Bx + Cx...
Ry = Ay + By + Cy...
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